1.Correcly identify if the following random variables as either discrete or continous. The number of new accounts opened at a bank during a certain month
2.Correctly identify whether the following situations satisfy the conditions required to conduct a Binomial experiment. Five percent of all VCRs manufactured by a large electronics company are defective. Three VCRs are randomly selected from the production line of this company. The selected VCRs are inspected to determine whether each of them is defective or good.
B) NOT Binomial
3.From the table above, What is the probability that at most two college students in this sample abstain from drinking?
4.What characteristic of a random variable is described by the expected value?
A) Standard deviation
B) Most likely value
C) Maximum value
5.[Fill in the blank with just the probability value] The Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given above. What is the probability that at least 7 children will come to a party?
6.Based on her past experience, a professor knows that the probability distribution for X = number of students who come to her office hours on Wednesday is given above. What is the probability that at least 1 student comes to office hours on Wednesday?
7.For the given situation, decide if the random variable described is a discrete random variable or a continuous random variable. Random variable X = the time (in seconds) it takes one email to travel between a sender and receiver.
A) Continuous random variable
B) Discrete random variable
8.The probability distribution for X = number of heads in 4 tosses of a fair coin is given in the table above. What is the value of the cumulative distribution function at 3, i.e. P(X ≤ 3)?
9.Joan has noticed that the probability distribution for X = number of students in line to use the campus ATM machine when she shows up to use it is shown above. What is the expected value of X, E(X)?
10.Which one of these variables is a continuous random variable?
A) The time it takes a randomly selected student to complete an exam.
B) The number of tattoos a randomly selected person has.
C) The number of correct guesses on a multiple choice test.
D) The number of women taller than 68 inches in a random sample of 5 women.
11.Consider an experiment that involves repeatedly rolling a six-sided die. Which of the following is a binomial random variable?
A) The sum of the numbers observed on the first six rolls.
B) The number of rolls until a “4“ is rolled for the first time.
C) It is not possible to have a binomial random variable when rolling a six-sided die because a binomial random variable allows only two possible outcomes, not six.
D) The number of times that a “4“ is rolled when the die is rolled six times.
12.The probability is p = 0.80 that a patient with a certain disease will be successfully treated with a new medical treatment. Suppose that the treatment is used on 40 patients. What is the expected value of the number of patients who are successfully treated?